If `a`, `b`, `c` are positive numbers such that `a gt b gt c` and the equation `(a+b-2c)x^(2)+(b+c-2a)x+(c+a-2b)=0` has a root in the interval `(-1,0)`, then

If a,b,c are positive rational numbers such that agtbgtc and the quadratic eqution (a+b-2c)x^2+(b+c-2a)x+(c+a-2b)=0 has a root of the interval (-1,0) then (A) c+alt2b (B) the roots of the equation are rational (C) the roots of are imaginary (D) none of these

If a,b,c are rational numbers (a gt b gt c gt 0) and quadratic equation (a+b-2c) x ^(2) + (b+c-2a) x+ (c+a-2b)=0 has a root in the interval (-1,0) then which of the following statement (s) is/are correct ?

If a,b,c are rational numbers (a gt b gt c gt 0) and quadratic equation (a+b-2c) x ^(2) + (b+c-2a) x+ (c+a-2b)=0 has a root in the interval (-1,0) then which of the following statement (s) is/are correct ?

The roots of the equation (b-c)x^(2)+(c-a)x+(a-b)=0

The roots of the equation (b-c) x^2 +(c-a)x+(a-b)=0 are

The roots of the equation (b-c) x^2 +(c-a)x+(a-b)=0 are

The roots of the quadratic equation (a+b-2c)x^(2)+(2a-b-c)x+(a-2b+c)=0 are